Clicking on the Debug Console, then CMD or PowerShell opens a Command prompt or a Powershell prompt console, respectively. The screencap below shows a Powershell session. You can do a variety of Powershell and commands, such as get-process or dir.

Process Explorer. You can look at the Id-PID of the W3WP process and see if it changes when you run a request. If it does, the process is likely crashing and that needs to be analyzed further to see why.